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Dec 26, 2009 at 22:19 comment added Hailong Dao You are right! In the problems I am working on, the increasing order of difficulty is almost always: contains a field < unramified <ramified, so I never thought of equicharacteristic as limit case of ramified.
Dec 26, 2009 at 21:53 comment added Bjorn Poonen Taking g=0 leads to k[[x]]. To me it would make more sense to group k[[x]] with the ramified examples (in some sense, it is infinitely ramified: look at the valuation of p!)
Dec 26, 2009 at 6:36 history edited Hailong Dao CC BY-SA 2.5
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Dec 26, 2009 at 6:20 history edited Hailong Dao CC BY-SA 2.5
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Dec 26, 2009 at 6:15 history answered Hailong Dao CC BY-SA 2.5